PI: Mao Sheng, Nanjun Yang

The main interests of the algebraic geometry group are the followings: 

1、 Topology ofalgebraic varieties: Hodge theory, algebraic cycles, motivic homotopy theory, derived algebraic geometry, quantum cohomology 

2、 Birational geometry: Singularities, minimal model program 

3、 Algebraic curves: Gromov-Witten and Donaldson-Thomas theory, Drinfeld modules, automorphisms in positive characteristics, moduli spaces 

4、 Algebraic analysis: D-modules and perverse sheaves 

5、 Arithmetic geometry: Shimura varieties, Artin-Mazur formal groups 

6、 Application to physics: String theory, supergroups, Higgs bundles 

7、 Application to computer science: Algebraic geometry code, quantum codes